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The set A ∪ B ∪ C ∩ A ∩ B ′ ∩ C ′ ′ ∩ C is equal to

Options

  1. AA ∩ B
  2. BA
  3. CB ∩ C ′
  4. DC

Correct answer

D. C

Step-by-step solution

A ∪ B ∪ C ∩ A ∩ B ′ ∩ C ′ ′ ∩ C = A ∪ B ∪ C ∩ A ′ ∪ B ∪ C ∩ C = A ∩ A ′ ∪ B ∪ C ∩ C = ϕ ∪ B ∪ C ∩ C = B ∪ C ∩ C = C

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